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The vertex of the right isosceles triangle is the center of the square.   Each leg of the right isoscles triangle is 6. What is the area of the overlapping region? 

 

 Nov 30, 2020
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Each  smaller triangle is  similar  to the larger isosceles  right triangle

 

Each leg of these two triangles  =   (6 - 5)   =1  unit

 

So.....their combined areas =  2 (1/2) (1) ( 1)  =  1

 

Area of  isosceles triangle =  (1/2) (6)(6)   =18

 

Area of overlap =   18 -  1  =   17  units^2  

 

cool cool cool

 Nov 30, 2020

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